The generation of an undular bore in the vicinity of a wave-breaking point is considered for the integrable Kaup–Boussinesq (KB) shallow water system. In the framework of the Whitham modulation theory, an analytic solution of the Gurevich–Pitaevskii type of problem for a generic “cubic” breaking regime is obtained using a generalized hodograph transform, and a further reduction to a linear Eule...

This paper presents a method of calculating an interval including a bifurcation point. Turning points, simple bifurcation points, symmetry breaking bifurcation points and hysteresis points are calculated with guaranteed accuracy by the extended systems for them and by the Krawczyk-based interval validation method. Taking several examples, the results of validation are also presented. key words:...

We point out that an anomalous gauge U(1) symmetry is a natural candidate for being the mediator and messenger of supersymmetry breaking. It facilitates dynamical supersymmetry breaking even in the flat limit. Soft masses are induced by both gravity and the U(1) gauge interactions giving an unusual mass hierarchy in the sparticle spectrum which suppresses flavor violations. This scenario does n...

The idea of a strongly interacting sector as responsible for the electroweak symmetry breaking is tested through an effective lagrangian description, called the BESS model, constructed on the standing point of custodial symmetry and gauge invariance, without specifing any dynamical scheme. Key-Words : electroweak symmetry breaking. Number of figures : 4 October 1994 CPT-94/P.3075 anonymous ftp ...

We provide evidence that the gauge-fermion interaction in multiflavour quantum electrodynamics in (2 + 1)-dimensions is responsible for non-fermi liquid behaviour in the infrared, in the sense of leading to the existence of a non-trivial (quasi) fixed point (cross-over) that lies between the trivial fixed point (at infinite momenta) and the region where dynamical symmetry breaking and mass gene...

We point out that in a class of supersymmetric models where R-parity violation is induced by the spontaneous breaking of local B − L symmetry, the R-parity violating W decay W → l̃γ and Z decay Z → ν̃γ, forbidden in the minimal supersymmetric standard model (MSSM), occur at an enhanced rate compared to other models with R-parity breaking. We find that the branching fractions for these modes can b...

In the MSSM the quasi-infra-red fixed point for the top-quark Yukawa coupling gives rise to specific predictions for the soft-breaking parameters. We discuss the extent to which these predictions are modified by the introduction of additional “non-holomorphic” soft-breaking terms. We also show that in a specific class of theories, there exists an RGinvariant trajectory for the “non-holomorphic”...

Tilted brane in theories with large compact extra dimensions leads to spontaneous symmetry breaking of the Lorentz and rotational invariance in four dimensions, as shown by Dvali and Shifman. In this brief report, we point out that the mentioned Lorentz symmetry breaking, although leading to the CPT–violating interaction terms, cannot lead to the CPT violation in the experimentally interesting ...

We study analytically the general features of electroweak symmetry breaking in the context of the Minimal Supersymmetric Standard Model extended by one Higgs singlet. The exact analytical forms of the renormalization group evolutions of the Yukawa couplings and of the soft supersymmetry breaking parameters are derived to one-loop order. They allow on one hand controllable approximations in clos...